Details

sample91.0ms

Algorithm

intervals

Results

27.0ms	69×	body	1280	valid
20.0ms	329×	body	80	valid
16.0ms	58×	body	640	valid
7.0ms	37×	body	320	valid
3.0ms	20×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	30	197
3	62	197
4	130	197
5	258	197
6	655	197
7	1834	197
done	5002	197

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.8b	(/ (* (sin x) (sinh y)) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

3 → 55

Calls

3 calls:

2.0ms	(sinh y)
14.0ms	(* (sin x) (sinh y))
16.0ms	(/ (* (sin x) (sinh y)) x)

series337.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(sinh y)
133.0ms	(* (sin x) (sinh y))
124.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	122	16579
1	294	15324
2	1010	14343
done	5000	13405

prune392.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sinh y) (/ x (sin x)))
0.1b	(/ x (sin x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`sinh-def` `clear-num` `frac-2neg`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 112

Calls

3 calls:

2.0ms	(sinh y)
16.0ms	(/ (sinh y) (/ x (sin x)))
7.0ms	(/ x (sin x))

series297.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(sinh y)
140.0ms	(/ (sinh y) (/ x (sin x)))
46.0ms	(/ x (sin x))

simplify1.7s

Counts

121 → 121

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	210	43322
1	518	40879
2	1565	39434
done	5001	39147

prune592.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sinh y) (/ 1 (/ (sin x) x)))
0.1b	(/ (sin x) x)
0.1b	(/ 1 (/ (sin x) x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
239×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/l*`
6×	`associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sinh-def`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 320

Calls

4 calls:

2.0ms	(sinh y)
30.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
11.0ms	(/ (sin x) x)
19.0ms	(/ 1 (/ (sin x) x))

series240.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sinh y)
95.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
33.0ms	(/ (sin x) x)
42.0ms	(/ 1 (/ (sin x) x))

simplify2.8s

Counts

332 → 332

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	508	160846
1	1371	130632
2	2714	120198
done	5002	118320

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.1b	(* (/ (sinh y) x) (sin x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(/ (sinh y) x)
15.0ms	(* (/ (sinh y) x) (sin x))

series612.0ms

Counts

3 → 9

Calls

3 calls:

396.0ms	(sinh y)
102.0ms	(/ (sinh y) x)
114.0ms	(* (/ (sinh y) x) (sin x))

simplify3.7s

Counts

83 → 83

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	147	21578
1	353	20227
2	1057	19303
3	3918	18594
done	5015	18432

prune433.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	238
1	10	238
done	10	238

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	1774×	body	1280	valid
1.1s	10195×	body	80	valid
747.0ms	1914×	body	640	valid
272.0ms	1098×	body	320	valid
228.0ms	640×	body	160	valid